I was living in a small rectangular room at Caltech, with the door on one of the short sides and a window and radiator on the other short side. My bed was a rectangular framework that the mattress sat on top of. The long sides of the bed were parallel to the long sides of the room, said orientation being forced by the narrowness of the room.
The pillow side of the bed was toward the window and radiator. I decided I'd rather sleep with my feet on that side and my head on the other side.
One afternoon, I set about reorienting the bed to accomplish this. Because of the narrowness of the room, both horizontally and vertically, it was quite a challenge to flip the bed around, but after quite a struggle I accomplished it. While I was doing this, a small crowd had gathered to watch (but not help...the bastards).
After I finished, the spectators pointed out that the bed frame and mattress were symmetrical, and the sleeping orientation was determined entirely by what side you tucked the sheets under and where you put the pillow. Flipping the sleeping orientation would have taken a normal person 10 seconds.
Doh!